Title: Constraint on the abundance of primordial black holes in dark matter from Planck data Show Chinese title

Title: 普朗克数据限制原始黑洞作为暗物质丰度的研究

Abstract: We use Planck data released in 2015 to constrain the abundance of primordial black holes (PBHs) in dark matter in two different reionization models (one is the instantaneous reionization and the other is the asymmetric reionization), and significantly improve the upper limits on the abundance of PBHs from WMAP 3-year data by around two orders of magnitude. Furthermore, these new limits imply that the event rates of mergers of PBH binaries (Gpc$^{-3}$ yr$^{-1}$) are less than $0.002$ for $M_\text{pbh}=30M_\odot$, $5$ for $M_\text{pbh}=10M_\odot$ and $2000$ for $M_\text{pbh}=2M_\odot$ at $95\%$ confidence level (C.L.), and thus GW150914 seems very unlikely produced by the merger of a PBH binary. Show Chinese abstract

Abstract: 我们利用2015年发布的普朗克数据，在两种不同的再电离模型（一种是瞬时再电离模型，另一种是非对称再电离模型）下限制了暗物质中原始黑洞（PBHs）的丰度，并将基于WMAP三年数据对PBH丰度的上限提高了大约两个量级。 此外，这些新的限制意味着PBH双星合并（Gpc$^{-3}$年$^{-1}$）的事件率对于 $M_\text{pbh}=30M_\odot$时小于 $0.002$，对于 $M_\text{pbh}=10M_\odot$时为 $5$，对于 $M_\text{pbh}=2M_\odot$时为 $2000$，置信水平为 $95\%$（C.L.）。 因此，GW150914 很不可能是由 PBH 双星合并产生的。